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http://functions.wolfram.com/01.02.04.0005.01
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(\[Lambda] z)^a == \[Lambda]^a z^a /; \[Lambda] > 0 || \[Lambda] + z >= 0 ||
Element[a, Integers]
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Cell[BoxData[RowBox[List[RowBox[List[SuperscriptBox[RowBox[List["(", RowBox[List["\[Lambda]", " ", "z"]], ")"]], "a"], "\[Equal]", RowBox[List[SuperscriptBox["\[Lambda]", "a"], " ", SuperscriptBox["z", "a"]]]]], "/;", " ", RowBox[List[RowBox[List["\[Lambda]", ">", "0"]], "\[Or]", " ", RowBox[List[RowBox[List["\[Lambda]", "+", "z"]], "\[GreaterEqual]", "0"]], "\[Or]", RowBox[List["a", "\[Element]", "Integers"]]]]]]]]
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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <msup> <mrow> <mo> ( </mo> <mrow> <mi> λ </mi> <mo> ⁢ </mo> <mi> z </mi> </mrow> <mo> ) </mo> </mrow> <mi> a </mi> </msup> <mo> ⩵ </mo> <mrow> <msup> <mi> λ </mi> <mi> a </mi> </msup> <mo> ⁢ </mo> <msup> <mi> z </mi> <mi> a </mi> </msup> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <mi> λ </mi> <mo> > </mo> <mn> 0 </mn> </mrow> <mo> ∨ </mo> <mrow> <mrow> <mi> λ </mi> <mo> + </mo> <mi> z </mi> </mrow> <mo> ≥ </mo> <mn> 0 </mn> </mrow> <mo> ∨ </mo> <mrow> <mi> a </mi> <mo> ∈ </mo> <semantics> <mi> ℤ </mi> <annotation encoding='Mathematica'> TagBox["\[DoubleStruckCapitalZ]", Function[Integers]] </annotation> </semantics> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <ci> Condition </ci> <apply> <eq /> <apply> <power /> <apply> <times /> <ci> λ </ci> <ci> z </ci> </apply> <ci> a </ci> </apply> <apply> <times /> <apply> <power /> <ci> λ </ci> <ci> a </ci> </apply> <apply> <power /> <ci> z </ci> <ci> a </ci> </apply> </apply> </apply> <apply> <or /> <apply> <gt /> <ci> λ </ci> <cn type='integer'> 0 </cn> </apply> <apply> <geq /> <apply> <plus /> <ci> λ </ci> <ci> z </ci> </apply> <cn type='integer'> 0 </cn> </apply> <apply> <in /> <ci> a </ci> <integers /> </apply> </apply> </apply> </annotation-xml> </semantics> </math>
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| Cell[BoxData[RowBox[List[RowBox[List["HoldPattern", "[", SuperscriptBox[RowBox[List["(", RowBox[List["\[Lambda]_", " ", "z_"]], ")"]], "a_"], "]"]], "\[RuleDelayed]", RowBox[List[RowBox[List[SuperscriptBox["\[Lambda]", "a"], " ", SuperscriptBox["z", "a"]]], "/;", RowBox[List[RowBox[List["\[Lambda]", ">", "0"]], "||", RowBox[List[RowBox[List["\[Lambda]", "+", "z"]], "\[GreaterEqual]", "0"]], "||", RowBox[List["a", "\[Element]", "Integers"]]]]]]]]]] |
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Date Added to functions.wolfram.com (modification date)
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